is 2 198013 - 1
has 59608 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267150.060473.1343 %10000000020000000001.360712.3218 %151.421276.4447 %
Target2440.000059.0909 %36004000000.00028.8507 %0.000262.7117 %
Difference+23+150.0604+14.0434 %+99996400+1999600000+1.3606+3.4711%+151.4210+13.7330 %

Known prime factors (3 factors, 223.0 bits, 0.11263313% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1980131945168824731237.501491172
22 × 3 × 11 × 612
-372137211.215e-72.488e-55.063e-5
1980135329164765113886937031692478.8181345660326623475968
28 × 7 × 191341 × 3924545819
2014-07-061913413924545819414,0791.43082.6701
19801313260988724192535774156452842920733106.709334851467433767878224067431
3 × 127 × 13232699 × 66416929955734249
2021-09-1213232699664169299557342497.614e+1124,194,21245,188,050

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-09-30kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 194516882473
---42.026%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-14Ahmed AzhadManual testing44000000708400000027--2.960
2021-09-14Ahmed AzhadManual testing44000000708400000065--2.960
2021-09-14Ahmed AzhadManual testing44000000708400000016971--2.960


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-09-13Ahmed AzhadManual testing21260
skipped known factors(?)


ECM factoring results:
Total ECM effort:218.152 GHz-days
Estimated T-Level:35.654
DigitsB1CompleteFacMiss
2011000311.1720.000%
255000063.1390.000%
302500009.7580.006%
3510000001.22829.274%
4030000000.13187.739%
45110000000.01298.799%


ECM Summary

B1B2factorcurvesGHz-days
10.005
5000050000002811.371
250000250000003668.929
2500003850000046313.31
2500003850000030.086
100000016703407417320.62
100000016763986047256.34
100000016800000047256.39
30000005183827984717.06
300000052306295811843.02
various121.0177


Lucas-Lehmer results:
No L-L results for M198013


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
194516882473
532916476511388693703169
16D332675069B32E
2017-09-22Oliver KruseManual testing
194516882473
532916476511388693703169
16D332675069B32E
2017-10-12kkmrkkblmbrbkc4.xlarge
194516882473
532916476511388693703169
16D332675069B32E
2020-04-17Oliver KruseAddPrpType5
194516882473
532916476511388693703169
642917C52A0170D5
2021-09-12Ahmed AzhadAzhadPC1
194516882473
532916476511388693703169
132609887241925357741564528429207
642917C52A0170D5
2023-08-24USAFSS6917th_Scty_Sq
194516882473
532916476511388693703169
132609887241925357741564528429207
642917C52A0170D5


CERT results:
dateuseridcompid
2021-09-13curtiscwcm202--57l
2023-08-24qprimeqprime


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
260
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.65 ~= 102-bit
250
260
270
280
290
2100
2110
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00